364369674240 has 1056 divisors, whose sum is σ = 1538940102336. Its totient is φ = 81537269760.

The previous prime is 364369674239. The next prime is 364369674247. The reversal of 364369674240 is 42476963463.

364369674240 is a `hidden beast` number, since 36 + 4 + 369 + 6 + 7 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364369674247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28028436474 + ... + 28028436486.

Almost surely, 2^364369674240 is an apocalyptic number.

364369674240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364369674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769470051168).

364369674240 is an abundant number, since it is smaller than the sum of its proper divisors (1174570428096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364369674240 is an frugal number, since it uses more digits than its factorization.

364369674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 364369674240 in words is "three hundred sixty-four billion, three hundred sixty-nine million, six hundred seventy-four thousand, two hundred forty".